The African country's top division could soon get underway but clubs will have to play their matches in empty stadiums at first as a precaution
The Egyptian Premier League is currently on hold after 74 people were killed earlier in the year as violence broke out after a match between Al-Ahly and Al-Masry in Port Said.
"The league will be resumed behind closed doors, but it will all depend on the results of the investigations," Saleh told weekly magazine Ahram Sports.
"Security is the priority of all Egyptians and if it is achieved, the fans will return to the stands gradually.
"Resuming the competition is essential for several parties so I think that the clubs will not oppose playing the matches without their supporters."
Saleh has been appointed as iinterim president of the Egyptian FA until elections are held after the previous administration was dissolved by Prime Minister Kamal al-Ganzouri.